拟对角扩张C~*-代数的性质  

Some Properties of the Quasidiagonal Extension C~*-algebras

作　　者：范庆斋[1,2] 方小春[1] 梁月亮[3] FAN Qingzhai FANG Xiaochun LIANG Yueliang(Department of Mathematics, Tongji University, Shanghai 200092, China Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China School of Sciences, North University of China, Taiyuan 030051,China)

机构地区：[1]同济大学数学系,上海200092 [2]上海海事大学文理学院数学系,上海201306 [3]中北大学理学院数学系,山西太原030051

出　　处：《同济大学学报（自然科学版）》2017年第8期1240-1242,共3页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金(11571008;11501357)

摘　　要：0→J→A→B→0是一个拟对角扩张.证明以下结论:(1)如果J和B具有弱可比性质,则A也具有弱可比性质;(2)如果J和B具有强消去性质,则A也具有强消去性质;(3)如果J和B具有n-无孔性质,则A也具有n-无孔性质.Let 0→J→A→B→0 be a quasidiagonal extension.We show the following results：（1）suppose that J and B have the weakly comparison properties,then A has the weakly comparison property.（2）suppose that J and Bhave the strictly cancellation properties,then A has the strictly cancellation property.（3） suppose that J and B have the n-unperforated properties,then A has the n-unperforated property.

关 键 词：C^＊-代数 拟对角扩张 Cuntz半群 

分 类 号：O177[理学—数学]